Measures of Dispersion and Variability: Range, QD, AD and SD
CHAPTER-6 Facility Location and Layout 1.pptx
1. Facility Location and Facility Layout
Kahsu Mebrahtu Areaya(Assistant Professor),
MU, CBE , MBA Program
2. Part I. Facility Location
Issues in Facility Location
Plant Location Methods
3. Competitive Imperatives Impacting
Location
The need to produce close to the customer due to
time-based competition, trade agreements, and
shipping costs.
The need to locate near the appropriate labor pool to
take advantage of low wage costs and/or high technical
skills.
4. Issues in Facility Location
Proximity to Customers
Business Climate
Total Costs
Infrastructure
Quality of Labor
Suppliers
Other Facilities
5. Issues in Facility Location
Political Risk
Government Barriers
Trading Blocs
Environmental Regulation
Competitive Advantage
6. The Location Decision Stages and factors
Affecting Facility Location
Facility location decisions are commonly made in
three stages:
o The Regional Decision
o The Local Decision and
o The Site Decision
7. The Regional Decision
A region may be : a country, part of a country or
province
At this stage: economic, market and legal factors are
dominant
The Following are specific factors of potential
importance:
o Market proximity
o Proximity to raw materials
o Availability of utilities
8. Cont…
o labour supply and unionization
And
Additional factors for international location decision:
o National taxes –profit taxes vs value added taxes
o Legal restrictions
9. The Local Decision
This involves selecting among cities , metropolitan
areas etc.
For example a company may decide to locate within
Zone One of Afar Region. Within this zone, the
possible local alternatives might be :Samara, Logia,
Chifra, Dubti etc.
At this point , the following additional location factors
are relevant for consideration:
10. Cont…
1. Taxes
2. Economic incentives
free land, low-cost loans or tax abatements ,
employee training
3. Attractiveness of the community
Quality of housing, rate of crime , quality of schools,
recreational areas, etc.
4. Compatible Industry
11. Cont…
5. Transportation Network
6. Government policy and Attitude
7. Environmental Regulations
12. The Site Decision
At this stage , we need to have detail information
about the factors discussed in stage I and II
This involves : comparing the relative availability and
costs of the needed resources such as transport ,power,
water ,land, labour, raw materials in alternative sites .
13. Global Location Factors
Government stability
Government regulations
Political and economic systems
Economic stability and growth
Exchange rates
Culture
Climate
Export import regulations,
duties and tariffs
Raw material availability
Number and proximity of
suppliers
Transportation and
distribution system
Labor cost and education
Available technology
Commercial travel
Technical expertise
Cross-border trade regulations
Group trade agreements
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-13
14. Regional Location
Factors(Summary)
Labor (availability,
education, cost, and
unions)
Proximity of customers
Number of customers
Construction/leasing
costs
Land cost
Modes and quality of
transportation
Transportation costs
Community government
Local business
regulations
Government services
(e.g., Chamber of
Commerce)
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-14
15. Regional Location Factors (cont.)
Business climate
Community services
Incentive packages
Government regulations
Environmental
regulations
Raw material availability
Commercial travel
Climate
Infrastructure (e.g., roads,
water, sewers)
Quality of life
Taxes
Availability of sites
Financial services
Community inducements
Proximity of suppliers
Education system
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-15
16. Location Incentives
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-16
Tax credits
Relaxed government regulation
Job training
Infrastructure improvement
Money
21. Center-of-Gravity
Technique
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-21
Locate facility at center of
geographic area
Based on weight and distance
traveled establish grid-map of
area
Identify coordinates and
weights shipped for each
location
22. Plant Location Methodology: Center
of Gravity Method
The center of gravity method is used for locating single
facilities that considers existing facilities, the distances
between them, and the volumes of goods to be shipped
between them.
This methodology involves formulas used to compute
the coordinates of the two-dimensional point that
meets the distance and volume criteria stated above.
23. Plant Location Methodology: Center
of Gravity Method Formulas
C =
d V
V
x
ix i
i
Cx = X coordinate of center of gravity
Cy = Y coordinate of center of gravity
dix = X coordinate of the ith location
diy = Y coordinate of the ith location
Vi = volume of goods moved to or from ith
location
C =
d V
V
y
iy i
i
24. Grid-Map Coordinates
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-24
where,
x, y = coordinates of new facility
at center of gravity
xi, yi = coordinates of existing
facility i
Wi = annual weight shipped from
facility i
n
Wi
i = 1
xiWi
i = 1
n
x =
n
Wi
i = 1
yiWi
i = 1
n
y =
x1 x2 x3 x
y2
y
y1
y3
1 (x1, y1), W1
2 (x2, y2), W2
3 (x3, y3), W3
25. Center-of-Gravity Technique:
Example
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-25
A B C D
x 200 100 250 500
y 200 500 600 300
Wt 75 105 135 60
y
700
500
600
400
300
200
100
0 x
700
500 600
400
300
200
100
A
B
C
D
(135)
(105)
(75)
(60)
Miles
Miles
26. Center-of-Gravity Technique: Example
(cont.)
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-26
x = = = 238
n
Wi
i = 1
xiWi
i = 1
n
n
Wi
i = 1
yiWi
i = 1
n
y = = = 444
(200)(75) + (500)(105) + (600)(135) + (300)(60)
75 + 105 + 135 + 60
(200)(75) + (100)(105) + (250)(135) + (500)(60)
75 + 105 + 135 + 60
27. Center-of-Gravity Technique: Example
(cont.)
A B C D
x 200 100 250 500
y 200 500 600 300
Wt 75 105 135 60
y
700
500
600
400
300
200
100
0 x
700
500 600
400
300
200
100
A
B
C
D
(135)
(105)
(75)
(60)
Miles
Miles
Center of gravity (238, 444)
28. Load-Distance Technique
Compute (Load x Distance) for each site
Choose site with lowest (Load x Distance)
Distance can be actual or straight-line
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-28
29. Load-Distance Calculations
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-29
li di
i = 1
n
LD =
LD = load-distance value
li = load expressed as a weight, number of trips or units
being shipped from proposed site and location i
di = distance between proposed site and location i
di = (xi - x)2 + (yi - y)2
(x,y) = coordinates of proposed site
(xi , yi) = coordinates of existing facility
where,
where,
30. Load-Distance: Example
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-30
Potential Sites
Site X Y
1 360 180
2 420 450
3 250 400
Suppliers(existing facilities )
A B C D
X 200 100 250 500
Y 200 500 600 300
Wt 75 105 135 60
Compute distance from each site to each supplier
= (200-360)2 + (200-180)2
dA = (xA - x1)2 + (yA - y1)2
Site 1 = 161.2
= (100-360)2 + (500-180)2
dB = (xB - x1)2 + (yB - y1)2 = 412.3
dC = 434.2 dD = 184.4
31. Load-Distance: Example (cont.)
Copyright 2006 John Wiley & Sons, Inc. Supplement 7-31
Site 2 dA = 333 dC = 226.7
dB = 323.9 dD = 170
Site 3 dA = 206.2 dC = 200
dB = 180.4 dD = 269.3
Compute load-
distance
i = 1
n
li di
LD =
Site 1 = (75)(161.2) + (105)(412.3) + (135)(434.2) + (60)(434.4) = 125,063
Site 2 = (75)(333) + (105)(323.9) + (135)(226.7) + (60)(170) = 99,791
Site 3 = (75)(206.2) + (105)(180.3) + (135)(200) + (60)(269.3) = 77,555*
* Choose site 3
33. Facility Layout
Facility Layout and Basic Formats
Process Layout
Layout Planning
Assembly Line balancing
34. Facility Layout
Defined
Facility layout can be defined as the process by which the
placement of departments, workgroups within departments,
workstations, machines, and stock-holding points within a
facility are determined.
35. Facility Layout
Minimize material-handling
costs
Utilize space efficiently
Utilize labor efficiently
Eliminate bottlenecks
Facilitate communication and
interaction
Reduce manufacturing cycle
time
Reduce customer service time
Eliminate wasted or redundant
movement
Increase capacity
Facilitate entry, exit, and
placement of material, products,
and people
Incorporate safety and security
measures
Promote product and service
quality
Encourage proper maintenance
activities
Provide a visual control of
activities
Provide flexibility to adapt to
changing conditions
Copyright 2006 John Wiley & Sons, Inc. 7-35
Arrangement of areas within a facility to:
36. BASIC LAYOUTS
Process layouts(Layout for
Intermittent)
group similar activities together according
to process or function they perform. Eg. In
machine shop , all drills in one work center,
lathes in another work center and milling
machine in another work center.
Product layouts(Line layout)
arrange activities in line according to
sequence of operations for a particular
product or service
Copyright 2006 John Wiley & Sons, Inc. 7-36
37. Manufacturing Process Layout
Copyright 2006 John Wiley & Sons, Inc. 7-37
L
L
L
L
L
L
L
L
L
L
M
M
M
M
D
D
D
D
D
D
D
D
G
G
G
G
G
G
A A A
Receiving and
Shipping Assembly
Painting Department
Lathe Department
Milling
Department Drilling Department
Grinding
Department
P
P
39. Process Layout:
Systematic Layout Planning
Numerical flow of items between departments
Can be impractical to obtain
Does not account for the qualitative factors that may be
crucial to the placement decision
Systematic Layout Planning
Accounts for the importance of having each department
located next to every other department
Is also guided by trial and error
Switching departments then checking the results of the
“closeness” score
40. Example of Systematic Layout
Planning: Reasons for Closeness
Code
1
2
3
4
5
6
Reason
Type of customer
Ease of supervision
Common personnel
Contact necessary
Share same price
Psychology
41. Example of Systematic Layout
Planning:
Importance of Closeness
Value
A
E
I
O
U
X
Closeness
Line
code
Numerical
weights
Absolutely necessary
Especially important
Important
Ordinary closeness OK
Unimportant
Undesirable
16
8
4
2
0
80
42. Example of Systematic Layout
Planning: Relating Reasons and
Importance
From
1. Credit department
2. Toy department
3. Wine department
4. Camera department
5. Candy department
6
I
--
U
4
A
--
U
--
U
1
I
1,6
A
--
U
1
X
1
X
To
2 3 4 5
Area
(sq. ft.)
100
400
300
100
100
Letter
Number
Closeness rating
Reason for rating
43. Example of Systematic Layout
Planning:
Initial Relationship Diagram
1
2
4
3
5
U U
E
A
I
44. Example of Systematic Layout
Planning:
Initial and Final Layouts
1
2 4
3
5
Initial Layout
Ignoring space and
building constraints
2
5 1 4
3
50 ft
20 ft
Final Layout
Adjusted by square
footage and building
size
45. Product Layout: Assembly
Balancing
The major concern in a product layout is balancing the
assembly line so that no one workstation becomes a
bottleneck and holds up the flow of work through the
line .
Assembly –line balancing operates under two
constraints : Precedence requirements and cycle time
restrictions
46. Station 1
Minutes
per Unit 6
Station 2
7
Station 3
3
Assembly Lines Balancing
Concepts
Question: Suppose you load work into the three work stations
below such that each will take the corresponding number of
minutes as shown. What is the cycle time of this line?
Answer: The cycle time of the line is always determined by
the work station taking the longest time. In this problem,
the cycle time of the line is 7 minutes. There is also going
to be idle time at the other two work stations.
47. Example of Line Balancing
You’ve just been assigned the job a setting up an electric
fan assembly line with the following tasks:
Task Time (Mins) Description Predecessors
A 2 Assemble frame None
B 1 Mount switch A
C 3.25 Assemble motor housing None
D 1.2 Mount motor housing in frame A, C
E 0.5 Attach blade D
F 1 Assemble and attach safety grill E
G 1 Attach cord B
H 1.4 Test F, G
49. Example of Line Balancing:
Precedence Diagram
Question: Which process step defines the maximum rate of
production?
A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
Answer: Task C is the cycle time of the line and
therefore, the maximum rate of production.
50. Example of Line Balancing:
Determine Cycle Time
Question: Suppose we want to assemble 100 fans
per day. What would our cycle time have to be?
Required Cycle Time, C =
Production time per period
Required output per period
C =
420 mins / day
100 units / day
= 4.2 mins / unit
Answer:
51. Example of Line Balancing: Determine Theoretical
Minimum Number of Workstations
Question: What is the theoretical minimum number of
workstations for this problem?
Answer: Theoretical Min. Number of Workstations, N
N =
Sum of task times (T)
Cycle time (C)
t
t
N =
11.35 mins / unit
4.2 mins / unit
= 2.702, or 3
t
52. To Follow for Loading
Workstations
1. Draw the precedence diagram for all tasks
2.Group the elemental tasks without exceeding the cycle time.
3.Calculate the efficiency of the line
53. A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
Station 1 Station 2 Station 3
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
54. A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
Station 1 Station 2 Station 3
A (2min)
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
55. A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
A (4.2-2=2.2)
B (2.2-1=1.2)
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
Station 1 Station 2 Station 3
56. A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
A (2=2.2)
B (1=1.2)
G (1.2-1= .2)
Idle= .2
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
Station 1 Station 2 Station 3
57. A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
C (4.2-3.25)=.95
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
A (4.2-2=2.2)
B (2.2-1=1.2)
G (1.2-1= .2)
Idle= .2
Station 1 Station 2 Station 3
58. C (4.2-3.25)=.95
Idle = .95
A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
A (2)
B (1)
G (1)
Idle=4.2-4= .2
Station 1 Station 2 Station 3
59. C (3.25)
Idle =4.2-3.25= .95
A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
D (1.2)
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
A (2)
B (1)
G (1)
Idle=4.2-4= .2
Station 1 Station 2 Station 3
60. A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
C (3.25)
Idle =4.2-3.25= .95
D (1.2)
E (.5)
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
A(2min)
B (1min)
G (1min
Idle=4.2-4=.2
Station 1 Station 2 Station 3
61. A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
C (4.2-3.25)=.95
Idle = .95
D (1.2min)
E (0.5min)
F (1min)
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
A (2min)
B (1min)
G (1min)
Idle=4.2-4.0=0.2
Station 1 Station 2 Station 3
62. Which station is the bottleneck? What is the effective cycle time?
A
C
B
D E F
G
H
2
3.25
1
1.2 .5
1
1.4
1
C (3.25)
Idle4.2-3.25 = .95
D (1.2min)
E (.5min)
F (1min)
H (1.4min)
Idle 4.2-4.1= .1
Task Followers Time (Mins)
A 6 2
C 4 3.25
D 3 1.2
B 2 1
E 2 0.5
F 1 1
G 1 1
H 0 1.4
A (2min)
B (1min)
G (1min)
Idle=4.2-4= .2
Station 1 Station 2 Station 3
63. Example of Line Balancing:
Determine the Efficiency of the
Assembly Line
33.78%
=
s/unit)
(8)(4.2min
mins/unit
11.35
=
Efficiency
Efficiency =
Sum of task times (T)
Actual number of workstations (Na) x Cycle time (C)
67. Exercise
An assembly line with 17 tasks is to be balanced . The longest task is 2.4
minutes , and the total time for all tasks is 18 minutes. The line will
operate for 450 minutes per day.
a. what are the minimum and maximum cycle time?
b. What range of output is theoretically possible for the line ?
c. What is the minimum number of workstations needed if the maximum
output rate is to be sought ?
d. What cycle time will provide an output rate of 125 units per day?
e. What output potential will result if the cycle time is (1) 9 minutes ? (2)
15 minutes ?